7 papers
Conflict-avoiding codes and near-primitive roots
C. G. Karthick Babu, Pieter Moree, Sunil Kumar Pasupulati +1
An important role in the theory of conflict-avoiding codes is played by a quantity involving the multiplicative order of modulo , with running over all positive divisors…
Statistics of the Genus Number of and -fields
Anup B. Dixit, Sunil Kumar Pasupulati
The genus number of a number field is a fundamental invariant which measures the contribution of ramification to its ideal class group. In this paper, we establish the statistics f…
Euclidean Algorithms for Ideal Classes in Biquadratic fields: A Genus-Theoretic Perspective
Sunil Kumar Pasupulati
We study Euclidean ideal classes in real biquadratic fields and obtain unconditional existence results via genus theory. Lenstra showed (assuming the Generalized Riemann Hypothesis…
A collage of results on the divisibility and indivisibility of class numbers of quadratic fields
Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati, Muneeswaran R
The investigation of the ideal class group of an algebraic number field is one of the key subjects of inquiry in algebraic number theory since it encodes a lot of arithm…
Modular degree and a conjecture of Watkins
Subham Bhakta, Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati
Given an elliptic curve of conductor , there exists a surjective morphism defined over . In this article, we discuss the growth of…
Low degree extensions with Cyclic class group
Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati
Lenstra introduced the notion of the Euclidean ideal class, a generalization of the Euclidean domain that captures cyclic class groups. In this article, we establish the existence…
On the existence of a non-principal Euclidean ideal class in biquadratic fields with class number two
Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati
Lenstra introduced the notion of a Euclidean ideal class, which is a generalization of the Euclidean domain. Lenstra also proved that the Euclidean ideal in a number field impl…